{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7a2c0bcf",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c5723507",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 载入数据\n",
    "data = np.genfromtxt(\"data.csv\",delimiter=\",\")\n",
    "x_data = data[:,0]\n",
    "y_data = data[:,1]\n",
    "plt.scatter(x_data,y_data)# 绘制散点图\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5439e943",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 学习率learning rate\n",
    "lr = 0.0001\n",
    "# 截距\n",
    "b = 0\n",
    "# 斜率\n",
    "k = 0\n",
    "# 最大迭代次数\n",
    "epochs = 50\n",
    "\n",
    "# 最小二乘法，代价函数\n",
    "def computer_error(b,k,x_data,y_data):\n",
    "    totalError = 0\n",
    "    for i in range(0,len(x_data)):\n",
    "        totalError += (y_data[i]-(k*x_data[i]+b))**2\n",
    "    return totalError/float(len(x_data))/2.0"
   ]
  },
  {
   "attachments": {
    "image-2.png": {
     "image/png": 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"
    },
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"
    }
   },
   "cell_type": "markdown",
   "id": "0014e530",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)\n",
    "![image-2.png](attachment:image-2.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "48a52944",
   "metadata": {},
   "outputs": [],
   "source": [
    "def gradient_descent_runner(x_data,y_data,b,k,lr,epochs):\n",
    "#     计算总数据量\n",
    "    m = float(len(x_data))\n",
    "#     循环epochs次\n",
    "    for i in range(epochs):\n",
    "        b_grad = 0\n",
    "        k_grad = 0\n",
    "#         计算梯度的总和再求平均\n",
    "        for j in range(0,len(x_data)):\n",
    "            b_grad += (1/m)*((k*x_data[j]+b)-y_data[j])\n",
    "            k_grad += (1/m)*((k*x_data[j]+b)-y_data[j])*x_data[j]\n",
    "#         更新b和k\n",
    "        b = b - (lr * b_grad)\n",
    "        k = k - (lr * k_grad)\n",
    "#         每迭代5次，输出一次图像\n",
    "        if i % 5 ==0:\n",
    "            print(\"epochs:\",i)\n",
    "            plt.plot(x_data,y_data,'b.')\n",
    "            plt.plot(x_data,k*x_data+b,'r')\n",
    "            plt.show()\n",
    "    return b,k"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7d35d7d1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting b = 0,k = 0,error = 2782.5539172416056\n",
      "Running...\n",
      "epochs: 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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Fe81UeV7QuoVelhWhyilSd9OqboD0ptV7nj49//OCdmNwMKmzTzUH/tJLk8sq9fsdRWJQ6557E/f+C/28oCHtuKPauTRZbcM9pBApQ7s9NHt5/kRFlViq2nGn3fetWxlJJE+1Dfcm7f3X64qs2+cXUVeuorc82fdV7VyaqrY197xqz3XQa+24ylpzq7e8alV5oynV1kX2Vduee5OG3L32hquuNedRNupF1d9XJETmXv0BGQcGBnx0dLTqZgSjXfD1GoYhb2wuYntJyN9XpChmttHd2x0loL499zrqJoA6BV+vteOQa81FbC8J+fuKVEHhXpJue6tN2FCsMopI8Wq7QbVuut3o14QNxWVvdA1lpyqRMqnnXpJue6tN2VBcVhmlaftDiLQo3EvSS2irfpyfJpS5RNpRuJdIoV0+1felqRTuErWmlLlEJlK4S/Q0YpIm0myZQGhGh4jkST33AGhGh4jkTT33ANTpwFftRhgadYiERz33ANRlRke7EQZo1CESIoV7AOoyo6PTCEPzyEXCo3APRB1mdHQaYdRh1CHSNAp36VqnEUYdRh0iTaPjuYuI1NRkx3PXbJlIaQaLSLNlLsuY2XRgFNji7qea2RLgOmAOsBH4iLvvyvo50j3NmxeRPHrunwYeGnf7cuDL7v4G4Fngghw+Q3pQp3nzIlKMTOFuZguBU4Ar09sGvBe4IX3KGuCMLJ8hvWvCCT9EZHJZyzKrgc8Cr05vzwGec/fd6e3NwIJ2LzSzIWAIYNGiRRmbIePVZd68iBSn73A3s1OB7e6+0cyW9fp6dx8GhiGZLdNvO6S9OsybF5HiZOm5LwVOM7OTgVcArwGuAGaZ2Yy0974Q2JK9mSIi0ou+a+7ufom7L3T3xcA5wJ3u/mHgLuCs9GkrgFsyt1JERHpSxDz3zwGfMbNNJDX4qwr4DBERmUQuhx9w9w3AhvT6r4Hj8nhfERHpj/ZQFRGJkMJdRCRCCncRkQgp3EVEIqRwFxGJkMJdRCRCCncRkQgp3AOgE2uISN50DtWK6cQaIlIE9dwrphNriEgRFO4V04k1RKQIKstUTCfWEJEiKNwDoBNriEjeVJYREYmQwl1EJEIKdxGRCCncRUQipHAXEYmQwl1EJEKaCikikjd3eOIJuO8+2Lgx+bnvvuS+iW6+Gc44I/cmKNxFRLq1dy+sXQuf+AS8/HI+73nMMfm8zwQKdxGRP/4RPvMZ+OpX83vPQw6BY4+Ft7997OfQQ8Esv8+YhMJdROL1u9/B0qXwwAPFvP/8+fDNb8IHPlDM+2egcBeR+nn0UViypLj3f9Ob4Otfr/WR/BTuIhKO22+HE04o9jO+//3kJAqR01RIESne5ZcnteapfrIE+623JrNUpvppQLCDeu4iksVxx8FPflLsZ3z3u3DyycV+RoT6DnczOxRYC8wDHBh29yvMbDZwPbAYeBQ4292fzd5UESlNGTM67rwT3vOe4j+nobKUZXYDf+3uRwLHAxea2ZHAxcB6dz8MWJ/eFpEQdFMayRrsP/pRd+URBXuh+u65u/tWYGt6/Xdm9hCwADgdWJY+bQ2wAfhcplaKSGfuMK2EzWcPPwxHHFH850gucqm5m9li4BjgXmBeGvwA20jKNiLSq9//Hl71quI/56mnYM6c4j9HSpV5dW9mrwJuBFa6+wvjH3N3J6nHt3vdkJmNmtnojh07sjZDpD42bequNJI12Hft6q48omCPUqZwN7P9SIL9Wne/Kb37STObnz4+H9je7rXuPuzuA+4+MHfu3CzNEAnDTTd1F9qHHZbtc7oJbHfYb798vpfUUt/hbmYGXAU85O7/Mu6hW4EV6fUVwC39N08kAF/6UnehfeaZ2T6n29AW6UKWmvtS4CPAA2Z2f3rf54HLgHVmdgHwGHB2phaKFOWkk+C224r/HAWyVCDLbJkfAp3mTDVjFzAJ06GHwubNxX+OQlsCpj1UpT7K2LHmta+FrVunfp5I4HRsGaleGTvWfOpT3dWzFewSCfXcpThl9LRvugk++MHiP0ekZhTu0puy9oZ85BE4/PDiP0ckUgp3SezaBTNnFv85zz8Pr3lN8Z8j0nAK99i98AIceGDxn7N7N0yfXvzniEhXFO51tW1bcv7GIh1wQHJ8ExGpHc2WCc2zz8Lg4NQzR7IE+2mndTdzRMEuUlsK97Ls3g0PPggf+1gyl7pTaM+eDffc099nrFrVXWjfoiNCiMROZZmsdu1KSiRbt8ITTySX7a7v2NH/Ho0//CEsXZpvu0Ukagr3Tl5+eSycJwvup57a97XTpsG8eUnpZMECeMc7kuvPPAPXXw+nngqnnALvf79mjohIIZoX7i+9NHUve+vWpPY90fTpSUll/nxYsgTe9S543euS2/Pnj10/5JDOM0e+8pViv5+ICDGF+4svTh3YW7cm86wn2m+/sYA+/HBYtmzfwJ4/H+bOLWcHHhGRjOod7t/7HqxcmYT2iy/u+/jMmWMB/eY3w/ve176nPXu2QltEolLvcJ8zB44+Gk4+uX1P+6CDyjm+iYhIYOod7u98J6xbV3UrRESCo1qEiEiEFO4iIhFSuIuIREjhLiISIYW7iEiEFO4iIhFSuIuIREjhLiISIfN+D0ObZyPMdgCPVd2ODA4G2hwesrG0PMZoWYzRshiT17L4U3ef2+6BIMK97sxs1N0Hqm5HKLQ8xmhZjNGyGFPGslBZRkQkQgp3EZEIKdzzMVx1AwKj5TFGy2KMlsWYwpeFau4iIhFSz11EJEIKdxGRCCnce2RmrzCzH5vZf5vZg2b2d+n9S8zsXjPbZGbXm9n+Vbe1LGY23cx+amb/md5u5LIws0fN7AEzu9/MRtP7ZpvZHWb2y/TyoKrbWRYzm2VmN5jZw2b2kJkNNnF5mNkR6d9E6+cFM1tZ9LJQuPduJ/Bedz8KOBo40cyOBy4HvuzubwCeBS6oroml+zTw0LjbTV4W73H3o8fNYb4YWO/uhwHr09tNcQVwm7u/ETiK5G+kccvD3R9J/yaOBt4OvATcTMHLQuHeI0+0zsa9X/rjwHuBG9L71wBnlN+68pnZQuAU4Mr0ttHQZdHB6STLABq0LMzsQODdwFUA7r7L3Z+joctjnOXAr9z9MQpeFgr3PqRliPuB7cAdwK+A59x9d/qUzcCCippXttXAZ4G96e05NHdZOHC7mW00s6H0vnnuvjW9vg2YV03TSrcE2AFck5bsrjSzV9Lc5dFyDvDt9Hqhy0Lh3gd335MOsRYCxwFvrLZF1TCzU4Ht7r6x6rYE4s/c/VjgJOBCM3v3+Ac9mXfclLnHM4BjgW+4+zHA75lQdmjY8iDd9nQa8J2JjxWxLBTuGaTDzLuAQWCWmc1IH1oIbKmqXSVaCpxmZo8C15GUY66gmcsCd9+SXm4nqakeBzxpZvMB0svt1bWwVJuBze5+b3r7BpKwb+rygGSlf5+7P5neLnRZKNx7ZGZzzWxWev1PgPeTbCi6CzgrfdoK4JZKGlgid7/E3Re6+2KS4ead7v5hGrgszOyVZvbq1nXgz4GfA7eSLANoyLIAcPdtwONmdkR613LgFzR0eaQ+xFhJBgpeFtpDtUdm9jaSjR/TSVaO69z9783s9SS919nAT4G/cPed1bW0XGa2DPgbdz+1icsi/c43pzdnAP/u7v9oZnOAdcAiksNan+3uz1TUzFKZ2dEkG9r3B34NnEf6P0PDlke6wv8t8Hp3fz69r9C/DYW7iEiEVJYREYmQwl1EJEIKdxGRCCncRUQipHAXEYmQwl1EJEIKdxGRCP0vnJguPCJHWP0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 5\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 10\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 15\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 20\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 25\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 30\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 35\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 40\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epochs: 45\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "After 50 iterations b = 0.030569950649287983,k = 1.4788903781318357,error = 56.32488184238028\n"
     ]
    }
   ],
   "source": [
    "print(\"Starting b = {0},k = {1},error = {2}\".format(b,k,computer_error(b,k,x_data,y_data)))\n",
    "print(\"Running...\")\n",
    "b,k = gradient_descent_runner(x_data,y_data,b,k,lr,epochs)\n",
    "print(f\"After {epochs} iterations b = {b},k = {k},error = {computer_error(b,k,x_data,y_data)}\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
